Asymptotic stability criteria for linear systems of difference-differential equations of neutral type and their discrete analogues |
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Authors: | Marshall SlemrodEF Infante |
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Institution: | Center for Dynamical Systems, Division of Applied Mathematics Brown University, Providence, Rhode Island 02912 U.S.A. |
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Abstract: | Electrical networks containing lossless transmission lines are often modeled by difference-differential equations of neutral type. This paper finds sufficient conditions for asymptotic stability for linear systems of these equations. Also given is a modification of the direct method of Liapunov for difference equations. This method is applied to finding asymptotic stability criteria for the discrete analogs of the linear system of difference-differential equations. |
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